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Finding the Fourth Proportional to 92,109.12, 127,101.57 and 51,822

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Solution

The fourth proportional to 92,109.12, 127,101.57 and 51,822 is: 71,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,109.12 : 127,101.57 = 51,822 : x
  2. Step 2: Convert to fraction form
    92,109.12/127,101.57 = 51,822/x
  3. Step 3: Cross multiply
    92,109.12x = 127,101.57 × 51,822
  4. Step 4: Simplify right side
    92,109.12x = 6,586,657,560.54
  5. Step 5: Solve for x
    x = 6,586,657,560.54/92,109.12
  6. Step 6: Final answer
    x = 71,509.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.